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55568880 = 24325113683
BaseRepresentation
bin1101001111111…
…0100111110000
310212120012011200
43103332213300
5103211201010
65303011200
71243220253
oct323764760
9125505150
1055568880
11294047a4
1216739b00
13b6880c3
14754709a
154d29cc0
hex34fe9f0

55568880 has 120 divisors (see below), whose sum is σ = 188545968. Its totient is φ = 14665728.

The previous prime is 55568879. The next prime is 55568893. The reversal of 55568880 is 8886555.

55568880 is a `hidden beast` number, since 5 + 5 + 568 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81019 + ... + 81701.

Almost surely, 255568880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55568880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94272984).

55568880 is an abundant number, since it is smaller than the sum of its proper divisors (132977088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55568880 is a wasteful number, since it uses less digits than its factorization.

55568880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 55568880 is about 7454.4537023178. The cubic root of 55568880 is about 381.6019171086.

The spelling of 55568880 in words is "fifty-five million, five hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 113 120 144 180 226 240 339 360 452 565 678 683 720 904 1017 1130 1356 1366 1695 1808 2034 2049 2260 2712 2732 3390 3415 4068 4098 4520 5085 5424 5464 6147 6780 6830 8136 8196 9040 10170 10245 10928 12294 13560 13660 16272 16392 20340 20490 24588 27120 27320 30735 32784 40680 40980 49176 54640 61470 77179 81360 81960 98352 122940 154358 163920 231537 245880 308716 385895 463074 491760 617432 694611 771790 926148 1157685 1234864 1389222 1543580 1852296 2315370 2778444 3087160 3473055 3704592 4630740 5556888 6174320 6946110 9261480 11113776 13892220 18522960 27784440 55568880